On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions

We propose a mathematical model for class of predator–prey systems more complex than the usual one, involving commensalism effect consisting in an influence predator on sustainability prey. This induces interesting new features, including bi-stability (two attractors with disjoint attraction basins). The question possibility reaching certain attractor starting from initial conditions small population predators, which presents interest vewpoint onset evolution, is addressed. two possibilities: classical one adapted far past and (up to our knowledge) using biodiversity, specifically presence another operates as starter, being displaced sequel.